JEE Advanced 2007 Mathematics question

MathematicsComplex NumbersJEE Advanced 2007

A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there, he walks a distance of 4 units towards the north-west (N 45° W) direction to reach a point P. Then the position of P in the Argand plane is

Answer: (D)

Solution

With east along the real axis and north along the imaginary axis, north-east is the direction and north-west is

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Question ID VK-037455